I am looking for recommendation of 3 different books on the following topics:
1.Differential Equations
-Ordinary diff. equations
-Vector field, transport equations
-Equation of wave and heat
-Use of Fourier series in solving differential equations.
2.Logical components and architecture of the computers
-Logic ports and synthesis of boolean functions
-Completion of operations (adders, multipliers)
-Memory completion/usage, interconnections (BUS)
-Assembly programming, data path, control transfers with wired controllers
3.Differential geometry of curves and surfaces
-Parametrized curves
*tangent, arc length, length, curvature and torsion.
*Envelope of a family of lines in $\mathbb{R}^2$, involutes, caustics.
*Properties such as:
isoperimetry: find hugging curves given maximum length area. rotation number and the integral of curve, deformation invariance, convex curves.
-Parametrized surfaces in $\mathbb{R}^3$
*Examples, a normal, elements of a surface
*Curves on the surface, principal curvatures, mean curvature.
*Practical use such as:
Can a planisphere can truthfully represent the earth?
Being able to distinguish a rugby ball, football and a saddle; seen up close, not far away!
Depending on the time available, describe the relationship with the geometry of films and
soap bubbles.
Thank you in advance!!
